Hello!
The answer is:
The value of x is 3.9 units.
Why?
From the statement we know that the sum of the distances AB and BC is equal to 9.7 units, so, we need to write one equation to create a relation between the given distances and the total distance (AB + BC)
So, writing the equation, we have:
[tex]AB+BC=AC\\\\2x-3+(x+1)=9.7[/tex]
Now, adding like terms, we have:
[tex]2x-3+(x+1)=9.7[/tex]
[tex]2x+x-3+1=9.7[/tex]
[tex]3x-2=9.7[/tex]
[tex]3x=9.7+2[/tex]
[tex]x=\frac{9.7+2}{3}=\frac{11.7}{3}=39.9[/tex]
Hence, we have the value of x is 3.9 units.
Have a nice day!
